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Questions

Questions are a good opportunity for you to interact with your audience. It may be helpful for you to try to predict what questions will be asked so that you can prepare your response in advance. You may wish to accept questions at any time during your presentation, or to keep a time for questions after your presentation. Normally, it's your decision, and you should make it clear during the introduction. Be polite with all questioners, even if they ask difficult questions. They are showing interest in what you have to say and they deserve attention. Sometimes you can reformulate a question or answer the question with another question, or even ask for comment from the rest of the audience.

Appendix B

Wording mathematical signs, symbols and formulae

Plus

-

Minus

plus or minus

sign of multiplication; multiplication sign

sign of division; division sign

round brackets; parentheses

Curly brackets; braces

square brackets; brackets

Therefore

approaches; is approximately equal

~

equivalent, similar; of the order of

is congruent to; is isomorphic to

a equal b; a is equal to b

a is not equal to b; a is not b

approximately equals b

a plus or minus b

a is greater than b

a is substantially greater

than b

a is less than b

a is substantially less than b

a second is greater than a d-th

x approaches infinity

x tends to infinity

a is greater than or equals b

p is identically equal to q

n factorial

Laplacian

a prime

 

a double prime; a second prime

a triple prime

a vector; the mean value of a

the first derivative

a third; a sub three; a suffix three

a j th; a sub j product

f prime sub (suffix) c; f suffix (sub) c, prime

a second, double prime; a double prime, second

eighty seven degrees six minutes ten second

a plus b is c; a plus b equals c; a plus b is equal to c; a plus b makes c

a plus b all squared

c minus b is a; c minus b equals a; c minus b is equal to a; c minus b leaves a

bracket two x minus y close the bracket

a time b is c; a multiplied by b equals c; a by b is equal to c

a is equal to the ratio of e to l

ab squared (divided) by b equals ab

a divided by infinity is infinity small; a by infinity is equal to zero

x plus or minus square root of x square minus y square all over y

a divided by b is c; a by b equals c; a by b is equal to c; the ratio of a to b is c

a to b is as c to d

a (one) half

a (one) third

a (one) quarter; a (one) fourth

two thirds

twenty five fifty sevenths

2

two and a half

one two hundred and seventy third

o [ou] point five; zero point five; nought point five; point five; one half

o [ou] point five noughts one

the cube root of twenty seven is three

the cube root of a

the fourth root of sixteen is two

the fifth root of a square

Alpha equals the square root of capital R square plus x square

the square root of b first plus capital A divided by two xa double prime

a) dz over dx b) the first derivative of z with respect to x

a) the second derivative of y with respect to x

b) d two y over d x square

the nth derivative of y with respect to x

partial d two z over partial dsquare plus partial d two z over partial d square equals zero

y is a function of x

d over dx of the integral from t nought to t of capital F dx

capital E is equal to the ratio of capital P divided by a to e divided by l is equal to the ratio of the product Pl to the product ae

capital L equals the square root out of capital R square plus minus square

gamma is equal to the ratio of c prime c to ac prime

a to the m by nth power equals the nth root of (out of) a to the mth power

the integral of dy divided by the square root out of c square minus y square

capital F equals capital C sub (suffix) mu HIL sine theta

a plus b over a minus b is equal to c plus d over c minus d

capital V equals u square root of sine square i plus cosine square i equals u

tangent r equals tangent i divided by l

the decimal logarithm of ten equals one

a cubed is equal to the logarithm of d to the base c

four c plus W third plus two n first a prime plus capital R nth equals thirty three and one third

capital P sub (suffix) cr (critical) equals square capital El all over four l square

x + a is round brackets to the power p minus the r-th root of x all (in square brackets) to the minus q-th power minus s equals zero

Open round brackets capital D minus r first close the round brackets open square and round brackets capital D minus r second close round brackets by y close square brackets equals open round brackets capital D minus r second close the round brackets open square and round brackets capital D minus r first close round brackets by y close square brackets

u is equal to the integral of f sub one of x multiplied by dx plus the integral of f sub two of y multiplied by dy

capital M is equal to capital R sub one multiplied by x minus capital P sub one round brackets opened x minus a sub one brackets closed minus capital P sub two round brackets opened x minus a sub two brackets closed

a sub v is equal to m omega omega square alpha square divided by square brackets, r, p square m square plus capital R second round brackets opened capital R first plus omega square alpha square divided by rp round and square brackets closed

a) of z is equal to b, square brackets, parenthesis, z divided by c sub m plus 2, close parenthesis to the power m over m minus 1, minus 1, close square brackets; b) of z is equal to b multiplied by the whole quantity; the quantity 2 plus z over c sub m, to the power m over m minus 1, minus 1

the absolute value of the quantity sub j of t one minus sub j of t two is less than or equal to the absolute value of the quantity M of t one minus over j, minus M of sub 2 minus over j

the limit as s becomes infinite of the integral of f of s and of s plus delta n of s, with respect to s, from to t, is equal to the integral of f of s and of s, with respect to s, from to t

sub n minus r sub s plus l of t is equal to p sub n minus r

sub s plus l, times e to the power of t times sub q plus s

the partial derivative of F of lambda sub i of t and t, with respect to lambda, multiplied by lambda sub i prime of t, plus the partial derivative of F with arguments lambda sub i of t and t, with respect to t, is equal to zero

the second derivative of y with respect to s, plus y, times the quantity 1 plus b of s, is equal to zero

f of z is equal to sub mk hat, plus big 0 of one over the absolute value of z, as absolute z becomes

infinite, with the argument of z equal to gamma

D sub n minus 1 of is equal to the product from s equal to zero to n of, parenthesis, 1 minus x sub s squared, close parenthesis, to the power epsilon minus 1

the second partial (derivative) of u with respect to t plus a to the fourth power, times u, is equal to zero, where a is positive

set of functions holomorphic in D (function spaces)

Norm of f, the absolute value of f

distance between the sets and (curves, domains, regions)

b is the imaginary part of a + bi (complex variables)

a is the real part of a + bi (complex variables)

∂S

the boundary of S

the complement of S

union of sets C and D

intersection of sets C and D

B is a subset of A; B is included in A

a is an element of the set A; a belongs to A